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4444040044444 = 22711131109900111
BaseRepresentation
bin100000010101011010101…
…1011011001111110011100
3120201211211210101010112011
41000222311123121332130
51040302343222410234
613241321441121004
7636033312053140
oct100526533317634
916654753333464
104444040044444
111463785827210
125b9350029164
132630c04bb870
14115142489220
157a8eddc0b64
hex40ab56d9f9c

4444040044444 has 48 divisors (see below), whose sum is σ = 10441940253696. Its totient is φ = 1598256158400.

The previous prime is 4444040044387. The next prime is 4444040044489. The reversal of 4444040044444 is 4444400404444.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4444040044397 and 4444040044406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554946052 + ... + 554954059.

It is an arithmetic number, because the mean of its divisors is an integer number (217540421952).

Almost surely, 24444040044444 is an apocalyptic number.

4444040044444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4444040044444 is an abundant number, since it is smaller than the sum of its proper divisors (5997900209252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4444040044444 is a wasteful number, since it uses less digits than its factorization.

4444040044444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109900146 (or 1109900144 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 4444040044444 its reverse (4444400404444), we get a palindrome (8888440448888).

The spelling of 4444040044444 in words is "four trillion, four hundred forty-four billion, forty million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 1109900111 2219800222 4439600444 7769300777 12208901221 14428701443 15538601554 24417802442 28857402886 31077203108 48835604884 57714805772 85462308547 101000910101 158715715873 170924617094 202001820202 317431431746 341849234188 404003640404 634862863492 1111010011111 2222020022222 4444040044444